Answers
Answer:
The equation of the line is:
y = 3xStep-by-step explanation:
Given the table
x y
0 0
1 3
2 6
3 9
4 12
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptTaking the two points from the table
(1, 3)(2, 6)Determining the slope between (1, 3) and (2, 6)
(x₁, y₁) = (1, 3)
(x₂, y₂) = (2, 6)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 3] / [2 - 1]
= 3 / 1
= 3
Thus, the slope of the line = m = 3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the table, it is clear
at x = 0, y = 0
Thus, the y-intercept b = 0
now substituting m = 3 and b = 0 in the slope-intercept form of the line equation
y = mx + b
y = 3x + 0
y = 3x
Therefore, the equation of the line is:
y = 3xThe graph of the line equation y = 3x is also attached.
Related Questions
In the function y= 1/3x^2,
what effect does the number 1/3 have on the graph,
as compared to the graph of the function y= x^2
A. It stretches the graph horizontally by a factor of 3.
B. It shrinks the graph horizontally to 1/3 its original width.
C. It shrinks the graph vertically to 1/3 its original height.
D. It stretches the graph vertically by a factor of 3.
Answers
If 7x−6y=2 and −2x−y=3 are true equations, what would be the value of 5x−7y?
Answers
Answer:
-55
Step-by-step explanation:
7x-6y=2
-2x-y=3
by substitution method
y=3+2x
7x-6(3+2x)=2
7x-18-12x=2
-5x=20
x=-4
-2(-4)-y=3
8-y=3
-y=3-8
y=5
therefore the value of x=4 and that of y=5
5x-7y=5(-4)-7(5)
=-20-35
=-55
Anyone know the correct answer?!
Answers
Answer: Lower-right corner [tex]3^7 \times \frac{1}{3^4}[/tex]
Explanation:
We use the rule that
[tex]a^{-b} = \frac{1}{a^b}[/tex]
The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.
In this case, a = 3 and b = 4
So,
[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]
which is why overall,
[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answers
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
duane spins a fair spinner what is the probability it will land on 4 write your answer as a decimal
Answers
Answer:
Give me what the steps are what are the numbers
Step-by-step explanation:
f(x) = -x^2+10x - 17
Answers
Answer:
theres a graph with the vertex values if that's what you were looking for
Step-by-step explanation:
Find the measure of each angle indicated. Show work.
Answers
Answer:
? = 109 degrees
Step-by-step explanation:
45 + 75 + _ = 180 ( look for vertical angles)
45 + 75 + 60 = 180
60 +79 + _ = 180 (look for a straight line that forms 180 degrees)
60 + 79 + 41 = 180
68 + 41 + _ = 180 (look for a triangle that adds up to 180)
68 + 41 + 71 =180
180 - 71 = 109 (look for a linear pair)
Leah leaves school to go home. She walks 5 blocks north and then 8 blocks west. How far is Leah from the school?
Answers
Answer:
13 Blocks Away From School
Step-by-step explanation:
5 + 8 Is 13
Answer: 13 blocks from school
Step-by-step explanation:
(11 + 5) - 7(2 - 1) - 4
show work
Answers
Answer:
answer is 5 hope it helps
Answer:
5
Step-by-step explanation:
11+5=16
2-1=1
(16)-7(1)-4
16-7-4
16-7-4=5
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answers
Answer:
10
Step-by-step explanation:
2pi(5) is 31.42.
31.42/pi gets you exactly 10pi meters.
Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordinate D y coordinate. Part B the coordinates of the origin are _ A (1,1) B (0,1) C (0,0) D (1,0) I will give 15 brain
Answers
Answer: Part A. B origin Part B. C(0,0)
Step-by-step explanation:
In a coordinate plane, there are two axes
1) x-axis which is the horizontal axis.
2) y-axis which is the vertical axis.
The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.
Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.
Part B: The coordinate. Part B the coordinates of the origin are (0,0).
Answer:
A 1,1
Step-by-step explanation:
00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8
Which expression explains how to split the debt
Answers
Answer:
None of them. The proper expression(s) to split the debt are:
5400 / 8
or
8x=5400
Mr. Smith has 78 total textbooks in his classroom cupboards. If the ratio of Science
books to ELA books is 5 to 8, how many Science books does he have?
38
0 48
O 30
65
Answers
PLSS HELP ME!! ASAP!! I WILL GIVE YOU BRAINLYEST!!
What is the best estimate of the area of the figure in square inches?
Answers
To find the area of this figure the best action would to divide it into three different sections, finding the area of each and then adding them all together.
First, find the area of the square in the center, which would be 60in.
Second, find the area of the half circle. You would use the formula for area of a circle. You would divide this answer by 2 since this is only half of a circle. You would get 14.135in.
Last, you would find the area of the triangle. You would multiply both sides and then divide by 2, since it’s a triangle and not a square. Area for this is 12in.
And then you would add all these together.
Answer:
86.1372 -------> 86.1 (Nearest Tenths)
86.1372 -------> 86.14 (Nearest Hundreths)
86.1372 --------> 86.137 (Nearest Thousandths)
Step-by-step explanation:
Semicircle: 3.14*[tex]3^{2}[/tex]/2 = 14.1372
Triangle: 4*6 = 24/2 = 12
Rectangle: 10*6 = 60
14.1372 + 12 + 60 = 86.1372
86.1372 -------> 86.1 (Nearest Tenths)
86.1372 -------> 86.14 (Nearest Hundreths)
86.1372 --------> 86.137 (Nearest Thousandths)
35 is 29% of what number
Answers
Answer:
10.15 is 29% of 35.
Step-by-step explanation:
1. Which expression can be factored into the form (ax + b)(ax - b), where
a and b are rational numbers?
4n2 - 81
2n2 - 49
2n2 + 49
4n2 + 81
Answers
The expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n² - 81.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
A.
4n² - 81,
This can be factored as (2n - 9)(2n + 9), which is of the form (ax + b)(ax - b).
B.
2n² - 49,
This can be factored as (n - 7√2)(n + 7√2), but not in the form (ax + b)(ax - b).
C.
2n² + 49:
This cannot be factored into the form (ax + b)(ax - b) using rational numbers. We can factor it over the complex numbers as (n + i√49/2)(n - i√49/2), where i is the imaginary unit, but this does not satisfy the conditions of the problem.
D.
4n² + 81,
This cannot be factored into the form (ax + b)(ax - b)
Therefore, the expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n2 + 81.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
Jerry had k pencils. darcy and leonard then gave jerry an additional x pencils each. which expression could represent the number of pencils jerry has now?
Answers
Answer:
[tex]k[/tex]+([tex]x[/tex]×[tex]x[/tex])
Step-by-step explanation:
k is the number of pencils jerry has, and x is the number of pencils darcy and leonard gave him EACH. So you need to multiply 'x' x2 to get the total ammount of pencils they gave him, then add 'k' to know how much in total he has now.
hope it helped! (3
The scale of a map is 1:4 000 000. Hint: 1:4 000 000 means that 1cm on the map = 4 000 000 on the ground. The distance between Leeds and London on this map is 8.125cm. Calculate the actual distance between Leeds and London. Give your answer in kilometres.
Answers
Answer:
325 km
Step-by-step explanation:
Given the scale :
1 : 4 ,000, 000
1cm measure in map = 4000000 on the ground
From the map :
Distance between Leeds and London = 8.125 cm
The actual distance on ground can be calculated thus :
1cm = 4,000,000
8.125cm = x
Cross multiply
x = 32500000 cm
Converting to kilometers :
1 km = 100,000 cm
x = 32500000
Cross multiply
100,000x = 32500000
x = 32500000 / 100000
x = 325
Hence, actual distance between Leeds and London is 325 km
Which statement is true??
Answers
please help me will mark brainliest
Answers
Answer:
What do you need help with
Step-by-step explanation:
a) x² when x = 6
b) y² when y= -9
c) z² when z = 0.7
Answers
Answer:
a)36
b)-81
c)0.49
Hope it helps..
A bag contains:
• 5 red marbles
• 6 blue marbles
• 3 green marbles
• 4 black marbles
• 2 yellow marbles
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Answers
Answer:
35/100
Step-by-step explanation:
P(green or black) = 3/20 + 4/20 = 7/20
7/20 = 35/100
Answer:
35 times
Step-by-step explanation:
all of them added together is 20 7/20 7x5=35 because 20 goes into 100 5 times
HELP I NEED HELP ASAP
Answers
I think the answer is A
WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8
Answers
Answer:
Step-by-step explanation:
we will add like terms
-2x-2<8
we will add 2 on both sides
-2x<10
divide by 2
-x<5
multiply by -1
x>-5
Help please i dont get it
Answers
Answer:
3.51
Step-by-step explanation:
yes
Answer:
3.28
Step-by-step explanation:
What is the slope of this graph?
A. -4
B. 1/4
C. -1/4
D. 4
Answers
Answer:
-4 is the slope
Step-by-step explanation:
Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.
Light travels at a speed of 1.8 x 10^7 miles per second. Pluto's average distance from the sun is 3,600,000,000 miles. on average how long does it take sunlight to reach Pluto?
Answers
Answer:
5 hours 8 mins?
Step-by-step explanation:
write this number in standard form.
(7 x 100) + (4 x 100 ) + (8 x 1,000)
help asap.
this is a 5th grader problem.
thank you.
worth 50 points!
Answers
Answer:
(7 x 100) + (4 x 100 ) + (8 x 1,000)
=700+400+8000
=1100+8000
=91009100 is the right answer.Write the first 3 terms for the given formula
f(n) = 2n + 10 for starting with n = 1
Answers
2(1) +10
2+10
hope it helpsss
A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance travelled.
Answers
Answer:
390 miles
Step-by-step explanation:
(45 x 4) + (35 x 6) = 390 miles
